document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74978>Question 74978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form for the equation of the line which passes through the point (-1,-2) and is parallel to the line whose equation is 6x+2y=4?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53854 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form for the equation of the line which passes through the point (-1,-2) and is parallel to the line whose equation is 6x+2y=4? <BR>\n" );
document.write( "Parallel lines have equal slopes, so our line has the same slope as 6x+2y=4.<BR>\n" );
document.write( "To find the slope of the equation of a line, put the line in slope-intercept form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (0,b)=y-intercept<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B2y=4 ALIGN=MIDDLE  ALT=\"6x%2B2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-6x%2B2y=-6x%2B4 ALIGN=MIDDLE  ALT=\"6x-6x%2B2y=-6x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-6x%2B4 ALIGN=MIDDLE  ALT=\"2y=-6x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2F2=-6x%2F2%2B4%2F2 ALIGN=MIDDLE  ALT=\"2y%2F2=-6x%2F2%2B4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3x%2B2 ALIGN=MIDDLE  ALT=\"y=-3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The slope is, m=-3<BR>\n" );
document.write( "Therefore, our line has a slope of m=-3 and goes through the point (-1,-2).<BR>\n" );
document.write( "Some teachers use the slope intercept form of a line to find b and make the equation.<BR>\n" );
document.write( "Others use the point-slope formula (my preference): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (x1,y1)=given point.<BR>\n" );
document.write( "(x1,y1)=(-1,-2) and m=-3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-2%29=-3%28x-%28-1%29%29 ALIGN=MIDDLE  ALT=\"y-%28-2%29=-3%28x-%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=-3%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y%2B2=-3%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=-3x-3 ALIGN=MIDDLE  ALT=\"y%2B2=-3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The standard form of a line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Ax%2BB=C%29 ALIGN=MIDDLE  ALT=\"highlight%28Ax%2BB=C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where A,B, and C are integers and most books and teachers prefer that A be positive.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By%2B2=3x-3x-3 ALIGN=MIDDLE  ALT=\"3x%2By%2B2=3x-3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By%2B2=-3 ALIGN=MIDDLE  ALT=\"3x%2By%2B2=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By%2B2-2=-3-2 ALIGN=MIDDLE  ALT=\"3x%2By%2B2-2=-3-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283x%2By=-5%29 ALIGN=MIDDLE  ALT=\"highlight%283x%2By=-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!!  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );